The absolute Galois group of a pseudo real closed algebraic field
The authors prove that if k is a countable formally real Hilbertian field and G is a real projective profinite group of rank \(\leq \aleph_ 0\), then there exists a prc-field K extending k algebraically such that the absolute Galois group G(K) of K is isomorphic to G. (For notations see the above review.)
scientific article; zbMATH DE number 3957250